Trolley Problems are themselves a bad idea... the Kobayashi Maru is a similar exercise. I, like Kirk, don't believe that there are situations that can't be worked around if there is time to think, and resources to act.
Isn't the Trolley problem a situation that is, by definition, time sensitive? If you had more time to think and resources to act, it wouldn't be a Trolley Problem.
If the answer to launch-nukes-by-cutting-a-human-aide is "well, I need more time to think" then maybe that's a good outcome?
